2. Jaclyn estimates the square root of 50 in the following way:
/50 = 2/ 25 = 2 □5=10
(A) Explain why her reasoning is incorrect.
(B) Estimate the square root of 50 to the nearest tenth without using your calculators. Show your work.

(B) 7.1 is the estimated square  root of 50

Step-by-step explanation:

A. √50 =  √2 √25

= 5√2.

Jaclyn did not take the square root of 2.

B. We estimate the square root of 2.

Trial and improvement:

It must lie between 1 and 2 so we try 1.5:

1.5 * 1.5 = 2.25

Its  < 1.5 so try 1.4

1.4 * 1.4 = 1.96.

So it is a little above 1.4.

Try 1.45:

1.45 * 1.45                        

     1.45

  *  1.45

            725

          5800

         14500

       2.1025

= 2.1025.

- this is above 2 so the answer is between 1.40 and 1.45 but closer to 1.4.

A good estimate is 1.42

So the square root of 50 is about 5*1.42 = 7.1

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